2766960 has 200 divisors, whose sum is σ = 11162976. Its totient is φ = 622080.

The previous prime is 2766943. The next prime is 2766979. The reversal of 2766960 is 696672.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45330 + ... + 45390.

2^2766960 is an apocalyptic number.

2766960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2766960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581488).

2766960 is an abundant number, since it is smaller than the sum of its proper divisors (8396016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2766960 is a wasteful number, since it uses less digits than its factorization.

2766960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2766960 is about 1663.4181675093. The cubic root of 2766960 is about 140.3893921418.

It can be divided in two parts, 2766 and 960, that multiplied together give a triangular number (2655360 = T₂₃₀₄).

The spelling of 2766960 in words is "two million, seven hundred sixty-six thousand, nine hundred sixty".